Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation v=vo e(k/m) of about 63,000 , where v is the ship's kg m velocity, Vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 8 S a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec?
Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation v=vo e(k/m) of about 63,000 , where v is the ship's kg m velocity, Vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 8 S a. About how far will the ship coast before it is dead in the water? b. How long will it take the ship's speed to drop to 2 m/sec?
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a k-value in the equation v=vo e(k/m) of about 63,000 where v is the ship's
kg
velocity, vo is the initial velocity, m is the mass, k is a constant of proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 8
m
S
a. About how far will the ship coast before it is dead in the water?
b. How long will it take the ship's speed to drop to 2 m/sec?
a. Express the distance the ship will coast before reaching a complete stop in terms of v, Vo. k. m, and t
Distance
(Simplify your answer.)
before it is dead in the water.
The ship will coast
(Round to the nearest tenth as needed.)
C
m
b. Express the time it will take the ship's speed to drop to 2
S
in terms of v, vo, k, and m.
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